Question

Find the Volume of the composite figure below.

Answer 1

Hi I need the didnt for

Answer 2

972 pi ft^3

solution,

Volume of this composite figure

= Volume of cylinder+volume of cone

Formula to find volume of cylinder:

`\pi \: {r}^(2) h`

Formula to find volume of cone:

`(1)/(3) \pi {r}^(2) h`

Use,

`\pi = \: pi`

Here,

Radius of cone= radius of cylinder

=9 ft

Height of cylinder=10 ft

Height of cone=16 ft-10 ft=6 ft

Nowz

Volume of the figure:

`\: pi \: {r}^(2) h + (1)/(3) \: pi \: {r}^(2) h \\ = \: pi * {(9)}^(2) * 10 + (1)/(3) * \: pi * {(9)}^(2) * 6 \\ = \: pi \: * 81 * 10 + (1)/(3) * 21 * 6 * \: pi \\ = 810 \: pi + 162 \: pi \\ = 972 \: pi \: {ft}^(2)`

Hope this helps...

Good luck on your assignment...